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Heusler compounds are cubic intermetallics with a wide range of interesting properties, which are closely related to the structure of the material. In addition, several exotic physical phenomena have been predicted for different compositions in the family, but have not been experimentally realized. By and large, the lack of success in realization of various properties are due to the issues with intrinsic material attributes, which have been difficult to resolve as the relationship between them is not well understood. The aim of this work has been to unravel the entanglement between the intrinsic material attributes of cobalt-based quaternary Heusler compounds such as the structure, defects (disorder), chemical inhomogeneities etc., and the resulting physical properties.

Une sous-classe intéressante de matériaux multiferroïques est celle des composés multiferroïques magnétoélectriques, dans lesquels il existe un couplage entre les paramètres d’ordres ferroïques (magnétique et électrique). De ce point de vue, la classe des matériaux Ga₂₋ₓFeₓO₃ a attiré l’attention des chercheurs. Ces composés sont actuellement connus pour leur température de transition élevée ainsi que pour l’interaction possible entre leurs propriétés ferrimagnétiques et piézoélectriques. Leur structure cristallographique et magnétique est assez complexe, du fait du désordre de substitution interne Fe/Ga. Les oxydes M₂Ga₂Fe₂O₉ (M=In, Sc) appartiennent à cette même famille de matériaux et ont été synthétisés pour la première fois afin d’obtenir une structure cristallographique ordonnée de GaFeO₃. Afin d’étudier les propriétés physiques de ces différents composés, nous avons synthétisé par la méthode de la zone flottante (au four à image), en utilisant différentes conditions de croissance, des monocristaux de composition Ga₂₋ₓFeₓO₃ (x=0.90, 1.00 et 1.10). Nous avons également élaboré des échantillons polycristallins de composés GaFeO₃ faiblement dopés en indium ainsi que le composé M₂Ga₂Fe₂O₉ (M=In, Sc). Nous avons enfin préparé de monocristaux de composition In₂Ga₂Fe₂O₉ par la méthode de croissance en flux. L’affinement Rietveld des diffractogrammes des rayons X et des neutrons nous a permis de montrer que les céramiques de GaFeO₃ faiblement dopées en indium et les monocristaux de Ga₂₋ₓFeₓO₃ cristallisent dans le groupe d’espace Pc2₁n. Les paramètres cristallins et la température de Néel caractéristiques pour les monocristaux de Ga₂₋ₓFeₓO₃ varient de manière linéaire avec la teneur en fer. Les affinements nous ont permis de conclure que la structure de ces composés est caractérisée par un désordre élevée (25% de la quantité du fer se trouve sur les sites natifs du gallium). L’incorporation graduelle de l’indium s’accompagne d’une augmentation du volume de la maille ainsi qu’à une diminution de la température de transition magnétique. Le spectre d’excitations magnétiques mesuré pour les cristaux de Ga₂₋ₓFeₓO₃ nous a permis de mettre en évidence une coexistence de l’ordre ferrimagnétique à longue portée et d’un signal de diffusion diffuse en-dessous de la température de Néel. Ce signal diffus suggère l’existence d’une composante de type verre de spin du fait du désordre interne des sites. L'étude de la variation thermique de la constante diélectrique sur un cristal de GaFeO₃ révèle l’absence d’un couplage magnétoélectrique au sein de ces matériaux. L’affinement Rietveld des diagrammes de diffraction des rayons X et des neutrons mesurés sur les poudres de M₂Ga₂Fe₂O₉ (M=In, Sc) révèle une structure orthorhombique de type Pba2 fortement désordonnée, avec quatre sites cationiques d’occupation mixte. Les données de susceptibilité DC et AC couplées avec les mesures de chaleur spécifique et les spectres Mössbauer indiquent, en-dessous d’une température de Tg ≈ 19 K, l’existence d’un état fondamental de type verre de spin dans ce système. Les mesures du spectre d’excitations magnétiques ont mis en évidence l’absence d’ordre magnétique à longue portée et confirment l’existence d’une transition d’un état paramagnétique vers un état verre de spins. L’existence d’un comportement de type verre de spin dans les systèmes Ga₂₋ₓFeₓO₃ et M₂Ga₂Fe₂O₉ (M=In, Sc) souligne l’importance du désordre interne pour la caractérisation de l'état fondamental magnétique. / An interesting sub-class of the multiferroic materials are the multiferroic magnetoelectrics, in which exists a coupling between the two ferroic order parameters (magnetic and electric). From this viewpoint, the case of the (Ga₂₋ₓFeₓO₃)-class of materials has retained special attention. These compounds are now well-known for their high transition temperature as well as for the potential interaction between their ferrimagnetic and piezoelectric properties. Their crystallographic and magnetic structure are quite complicated, due to the existence of an internal site disorder. M₂Ga₂Fe₂O₉ (M=In, Sc) belongs to the (Ga₂₋ₓFeₓO₃)-class of materials and it was first synthesized in an attempt to obtain an ordered GaFeO₃ crystallographic structure. In order to study the physical properties of these compounds, Ga₂₋ₓFeₓO₃ (x=0.90, 1.00 and 1.10) single crystals have been synthesized by the floating zone method in an infrared image furnace, using different growth conditions. Indium doped GaFeO₃ (up to 10% indium content amount) and M₂Ga₂Fe₂O₉ (M=In, Sc) polycrystalline materials have been prepared by solid state reaction. Also, In₂Ga₂Fe₂O₉ single crystals were prepared by the flux method. The indium doped GaFeO₃ and Ga₂₋ₓFeₓO₃ samples crystallize in the Pc2₁n space group as determined from Rietveld refinement of the X-ray and neutron single crystals and powder patterns. The cell parameters and the Néel temperature (TN) of the Ga₂₋ₓFeₓO₃ single crystals varies linearly with the iron content amount. The occupation factors were calculated by refinement and the results showed a disordered structure (25% of the iron amount is found on the native gallium sites). The gradual incorporation of indium is accompanied by an increase of the cell volume and a decrease of the magnetic transition temperature. The magnetic excitations spectra measured for the Ga₂₋ₓFeₓO₃ single crystals revealed a coexistence of a ferrimagnetic ordering and a diffuse scattering signal below the Néel temperature. The diffuse signal suggests the existence of a spin glass like component due to the internal site disorder. Dielectric investigations showed no temperature dependent anomaly of the dielectric constant for the GaFeO₃ single crystal, suggesting a lack of a magnetoelectric coupling signal in this system. The Rietveld refinement of the X-ray and neutron powder patterns for the M₂Ga₂Fe₂O₉ (M=In, Sc) revealed a highly disordered orthorhombic Pba2 structure, offering four mixed cationic crystallographic sites. DC and AC susceptibility data in conjunction with the heat capacity data and Mössbauer measurements indicated a spin-glass-like behavior in this system, with a freezing temperature near Tf ≈ 19 K. The absence of an long range magnetic ordering and the existence of a transition from a paramagnetic state to a «frozen» state were showcased by the spin dynamics spectra measurements. The evidence for glassy behavior in the Ga₂₋ₓFeₓO₃ and M₂Ga₂Fe₂O₉ (M=In, Sc) systems highlights the importance of site disorder in determining the ground state magnetic properties.

Les solutions solides appartenant au système quasi-ternaire BaTiO3-CaTiO3-BaZrO3 (BCTZ) sont des candidates prometteuses pour les piézoélectriques sans plomb. Ce travail de thèse expérimental est consacré à la cristallogenèse et à la caractérisation de différents monocristaux dans le système BCTZ : BaZrO3, CaTiO3 ainsi que les solutions solides Ba1-xCaxTi1-yZryO3 présentant des teneurs en zirconium (Zr) et en calcium (Ca) proches de celles de la composition Ba(Zr0.2Ti0.8)O3-50(Ba0.7Ca0.3)TiO3 (BZT-50BCT) où les performances piézoélectriques sont exacerbées.Les monocristaux de CaTiO3 et de BaZrO3 ont été obtenus à la fois depuis une solution à haute température par la méthode du flux et à partir de leur phase fondue par la technique de la zone flottante optique. Dans le cas de CaTiO3 obtenu dans un four à image à 1975°C, l'aluminium (Al), le magnésium (Mg) et le baryum (Ba) ont été détectés comme étant les principales impuretés. Les spectres Raman de CaTiO3 sont en bon accord avec les spectres référencés dans la littérature. La croissance cristalline de BaZrO3 est beaucoup plus difficile à cause de son point de fusion très élevé (2700°C). Le flux BaB2O4 a été utilisé avec succès pour faire croitre des cristaux d’environ 150-200μm à 1350°C, soit à la moitié de son point de fusion. Des boules de BaZrO3 de taille centimétrique ont également été obtenues à partir de la phase fondue en four à image. Les impuretés majoritaires telles le strontium (Sr), l’hafnium (Hf), le calcium (Ca) et le titane (Ti) ont été détectées par GDMS et SIMS dans une gamme de concertation atomique de 0.3-0.5%. L’énergie de gap optique est d'environ 4,8 eV et souligne la grande qualité des cristaux de BaZrO3 obtenus en four à image. Les propriétés diélectriques à basse température de BaZrO3 confirment l'absence de transition de phase structurelle. Les études de Raman révèlent que même si BaZrO3 n'a pas de transition de phase à basse température, il présente une transition de phase cubique-quadratique sous haute pression à 11GPa à température ambiante.Dans la deuxième partie de cette thèse, des monocristaux centimétriques de BCTZ ont été obtenus avec succès par la croissance en flux. Les profils de concentrations en Ca et Zr le long des boules indiquent que leurs coefficients effectifs de ségrégation dépendent fortement de leur concentration initiale dans la solution liquide. Ceux-ci évoluent considérablement au cours du processus de cristallogenèse, rendant ainsi la croissance de BCTZ très délicate en vue d’obtenir des compositions constantes et proches de celles de la région de convergence de phases. De plus, une décomposition spinodale a été mise en évidence, indiquant la coexistence de deux solutions solides de compositions proches au sein des cristaux de BCTZ. Les propriétés diélectriques et piézoélectriques des cristaux obtenus ont été déterminées et présentent des caractéristiques allant du ferroélectrique classique au relaxeur. Les mesures diélectriques montrent notamment une double boucle d'hystérésis (PE) anormale qui disparaît après polarisation. / Solid solutions belonging to BaZrO3–BaTiO3–CaTiO3 (BCTZ) pseudo-ternary system are promising candidates for lead-free piezoelectrics. This thesis aims at growing and characterizing various single crystals of the BCTZ system: the end members BaZrO3 and CaTiO3 as well as Ba1-xCaxTi1-yZryO3 solid solution compounds with zirconium (Zr) and calcium (Ca) contents close to Ba(Zr0.2Ti0.8)O3-50(Ba0.7Ca0.3)TiO3 composition (BZT-50BCT) where high piezoelectric performances are expected.CaTiO3 and BaZrO3 single crystals were both grown from high temperature solution by the flux method and from the melt by the optical floating zone technique. In the case of CaTiO3 grown with a mirror furnace at 1975°C, aluminum (Al), magnesium (Mg) and barium (Ba) as main impurities were detected. The Raman spectra of CaTiO3 are in good agreement with the spectra referenced in the literature. The growth of BaZrO3 was more challenging because of its very high melting point (2700°C). BaB2O4 flux was successfully used to produce 150-200 μm-sized BaZrO3 crystals at half its melting point (1350°C) and bulk centimeter-sized BaZrO3 boules were grown from the melt. Sr, Hf, Ca and Ti were detected by GDMS and SIMS as main impurities in the range of 0.3-0.5 at.%. The optical band gap is found to be ~4.8 eV and indicates the high quality of the BaZrO3 crystals grown with mirror furnace. Low temperature dielectric properties of BaZrO3 are displayed and confirmed the absence of structural phase transition. Raman investigations reveal that even though BaZrO3 does not have any phase transition at low temperatures, it exhibits a high-pressure phase transition from cubic to tetragonal at 11GPa at room temperature.In the second part, BCTZ centimeter-sized single crystals have been successfully grown by the top seeded solution growth technique. Ca and Zr content profiles throughout the as-grown boules indicate that their effective segregation coefficients are highly dependent on their initial concentration in the liquid solution. Concentrations evolve substantially during the crystal growth, making the BCTZ crystal growth a tricky issue when a narrow compositions range is targeted, as in the vicinity of the phase convergence region. Furthermore, spinodal decomposition was observed, indicating the coexistence of two solid solutions with close compositions in BCTZ crystals. Dielectric and piezoelectric properties were measured for some crystals, which were found to display a variety of behavior form relaxor to pure ferroelectric. In addition, an abnormal double-like PE hysteresis loop was observed, that was associated to an irreversible effect disappearing upon poling.

Heusler compounds are cubic intermetallics with a wide range of interesting properties, which are closely related to the structure of the material. In addition, several exotic physical phenomena have been predicted for different compositions in the family, but have not been experimentally realized. By and large, the lack of success in realization of various properties are due to the issues with intrinsic material attributes, which have been difficult to resolve as the relationship between them is not well understood. The aim of this work has been to unravel the entanglement between the intrinsic material attributes of cobalt-based quaternary Heusler compounds such as the structure, defects (disorder), chemical inhomogeneities etc., and the resulting physical properties.

With reference to some figures reproduced in this thesis: "Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society." / We report on the growth and characterization of strontium ruthenate (214) (Sr2RuO4) and strontium rhodate (214) (Sr2RhO4) in efforts to test their agreement with Landau-Fermi liquid theory using optical measurements. We begin by reviewing the theory of Landau-Fermi liquids and the frequency and temperature dependent conductivities. We review existing work on both Sr2RuO4 and Sr2RhO4 including evidence of agreement with Landau-Fermi liquid theory. We also describe optical floating zone crystal growth and the exact procedures we used to prepare samples of both Sr2RuO4 and Sr2RhO4 via optical floating zone. The resulting Sr2RuO4 crystals were characterized using AC susceptibility measurements and Sr2RhO4 by powder diffraction, single crystal diffraction, and SQUID magnetization measurements. Finally, early optical reflectivity measurements at low temperatures are presented. / Thesis / Master of Science (MSc) / Crystals of Sr2RuO4 and Sr2Rho4 were grown by the author in an effort to study changes of their resistivity with varying temperature and frequency at low temperatures. The crystals were characterized using a variety of x-ray and other techniques, so as to measure their purity. Past work on these materials is discussed and analyzed. Preliminary measurements of the resistivity are presented.

La découverte de la supraconductivité à haute température dans les cuprates supraconducteurs en 1986 a révolutionné le secteur et remis en cause la théorie conventionnelle (BCS) de la supraconductivité. Malgré des avancées importantes dans la course aux plus hautes températures critiques, à ce jour, aucune théorie ne fournit une interprétation satisfaisante des propriétés de ces matériaux.L’évolution de la température critique en fonction du taux de strontium dans les solutions solides supraconductrices La2-xSrxCuO4 et La1,6 xNd0,4SrxCuO4 forme un dôme supraconducteur pour 0,05 < x < 0,30. Cependant ce dôme montre une anomalie autour de la teneur x = 0,125, où la température critique est abaissée. Grâce aux technologies de plus en plus performantes, de nouvelles analyses physiques pourraient aider à comprendre la supraconductivité dans les cuprates.Pour cela, des monocristaux d’excellente qualité sont nécessaires. La technique de croissance cristalline par la méthode de fusion de la zone solvante est très adaptée à la synthèse de ce type de matériau à fusion non congruente.Une étude préliminaire sur des céramiques a permis de collecter de nombreuses informations. Une analyse par diffraction des rayons X permet de connaitre l’évolution des structures cristallines et des paramètres de mailles en fonction de la teneur en strontium. Les solutions solides La2-xSrxCuO4 cristallisent dans le système orthorhombique Bmab lorsque x < 0,11 et dans le système quadratique I4/mmm pour x > 0,11. En substituant une partie des ions lanthanes par des ions néodymes, la phase orthorhombique est stabilisée et la transition intervient quand x est proche de 0,19. Les températures critiques de ces composés sont déterminées par l’analyse des propriétés magnétiques réalisées à l’aide d’un magnétomètre à SQUID. Ces dernières sont plus complexes pour les solutions solides La1,6 xNd0,4SrxCuO4 en raison du caractère paramagnétiques des ions Nd3+.Les solides cristallisés présentés dans ce travail ont été élaborés dans un four à concentration de rayonnement avec des vitesses de croissance très lentes (1 mm.h-1). Pour atteindre les compositions visées La1,875Sr0,125CuO4 et La1,475Nd0,4Sr0,125CuO4, il est indispensable d’identifier une composition optimale de la pastille solvante. La qualité cristalline des solides cristallisés est observée par l’intermédiaire d’un microscope à lumière polarisée et par la diffraction des rayons X par la méthode de LAUE. La détermination des paramètres de maille, des températures critiques, des analyses élémentaires par microsonde, couplés aux résultats obtenus sur les céramiques permettent d’obtenir la teneur en cation de ces cristaux. / High critical temperature superconductivity discovery in cuprates superconductors in 1986 revolutionized this sector and questioned the BCS theory. In spite of great improvement in critical temperatures, no theory fully explains the properties of these materials. The critical temperature evolution according to strontium’s content in La2-xSrxCuO4 and La1,6 xNd0,4SrxCuO4 superconductor solid solutions show a superconductive dome for 0,05 < x < 0,30. However, around x = 0,125, there is a magnetic anomaly where the critical temperature decreased. With the help of more efficient technologies, new physical analysis might help to give a better interpretation of the superconductivity in the cuprates materials. Therefore single crystals of great quality are needed. The travelling-solvent floating-zone method is particularly compatible with non-congruent fusion materials as cuprates. First, a preliminary study on polycrystalline samples was conducted and gave interesting information about structure and physical properties. X-rays powder diffraction experiments were used to analyze the crystalline structures and the cell parameters of these materials. The La2-xSrxCuO4 solid solutions crystallize in the orthorhombic Bmab system if x < 0,11, and in the tetragonal I4/mmm system if x > 0,11.With the substitution of Lanthanum ions by Neodymium ions, the orthorhombic phase is stabilized and the transition occurs only for x near 0,19. The critical temperatures of these compounds are extracted from the magnetic properties analysis, obtained by a SQUID magnetometer. These properties are more complicated for the La1,6 xNd0,4SrxCuO4 solid solutions because of the paramagnetic nature of Nd3+ ions. In this work, the crystals are synthesized in an optical furnace with small growth rates (1 mm.h-1). For the selected compositions of La1,875Sr0,125CuO4 and La1,475Nd0,4Sr0,125CuO4, the solvent rod must be optimal. Crystalline quality of the crystals is checked by polarized light microscopy and by the LAUE method. Elemental analysis by electron probe micro analysis and the results of the cell parameters and the critical temperatures, compared with those obtained from the polycrystalline materials are used for the composition determination of these crystals.

A parallel finite element code with adaptive meshing was developed and used to study three dimensional, time-dependent fluid flows caused by thermocapillary convection as well as temperature and dopant distribution in fusion welding and floating zone crystal growth. A comprehensive numerical model of the three dimensional time-dependent fluid flows in a weld pool had been developed. This model considered most of the physical mechanisms involved in gas tungsten arc welding. The model helped obtaining the actual chaotic time-dependent melt flow. It was found that the fluid flow in the weld pool was highly complex and influenced the weld pool’s depth and width. The physicochemical model had also been studied and applied numerically in order to simulate the surfactant adsorption onto the surface effect to the surface tension of the metal liquid in a weld pool. Another model, a three dimensional time-dependent, with adaptive mesh refinement and coarsening was applied for simulating the effect of weak flow on the radial segregation in floating zone crystal growth. The phase change equation was also included in this model in order to simulate the real interface shape of floating zone. In the new parallel code, a scheme that keeps the level of node and face instead of the complete history of refinements was utilized to facilitate derefinement. The information was now local and the exchange of information between each and every processor during the derefinement process was minimized. This scheme helped to improve the efficiency of the parallel adaptive solver. / QC 20100527

The aim of the present work is to clarify the interplay between the complex technological chain of crystal preparation, chemical and structural perfection of grown crystals of intermetallic compounds and oxides and their physical properties. This technological chain includes detailed studies of unknown or insufficiently known phase diagrams, their correlation with growth conditions and optimisation of process parameters for obtaining single crystals with high chemical and physical perfection. The measurements of the physical properties of the grown crystals such as superconductivity, thermoelectric or dielectric properties not only show new features and properties for application of the materials obtained, but also allow conclusions of the crystal perfection. The studies are focused on the following systems: RENi2B2C borocarbides (RE=Y, Tb or Ho) displaying superconductivity, magnetic order and a strong interplay between magnetic and superconducting properties for YNi2B2C, TbNi2B2C, HoNi2B2C, respectively; CeSi2-?Ô and Ru2Si3 as examples of systems with magnetic and promising thermoelectric properties, respectively; MgB2 and LiBC to test of theoretical predictions of the new superconducting intermetallic compounds discovered in the last years; SrTiO3 and SrZrO3 oxide compounds with special dielectric and optical properties. For this wide spectrum of substances necessarily different growth techniques were applied. That is mainly the floating zone (FZ) or travelling solvent floating zone (TSFZ) techniques with optical heating. Flux techniques were used if the vapour pressure of composing elements is high such as for Mg and Li. The crucible free FZ technique is very attractive for the crystal growth of these intermetallic and oxide compounds to avoid contamination with the crucible material, if the melts have very high chemical reactivity, high melting temperatures and if a large crystal size (at least 3-5 mm) is desired for corresponding physical measurements. One special aim in the presented work is the optimisation of the preparation and growth process features with respect to crystal perfection, establishing new relationships between process parameters, crystal perfection, crystallographic structure, composition of grown crystals and the related physical properties. Optimisation of crystal growth process requires own constitutional studies of growth relevant parts of corresponding multicomponent phase diagrams. Therefore, parts of the phase diagrams were experimentally revealed by differential thermal analysis (DTA), optical metallography and EPMA and partially combined with CALPHAD calculations.